What is the Greatest Common Factor of 81050 and 81060?

Greatest common factor (GCF) of 81050 and 81060 is 10.

GCF(81050,81060) = 10

We will now calculate the prime factors of 81050 and 81060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81050 and 81060.

How to find the GCF of 81050 and 81060?

We will first find the prime factorization of 81050 and 81060. After we will calculate the factors of 81050 and 81060 and find the biggest common factor number .

Step-1: Prime Factorization of 81050

Prime factors of 81050 are 2, 5, 1621. Prime factorization of 81050 in exponential form is:

81050 = 2¹ × 5² × 1621¹

Step-2: Prime Factorization of 81060

Prime factors of 81060 are 2, 3, 5, 7, 193. Prime factorization of 81060 in exponential form is:

81060 = 2² × 3¹ × 5¹ × 7¹ × 193¹

Step-3: Factors of 81050

List of positive integer factors of 81050 that divides 81050 without a remainder.

1, 2, 5, 10, 25, 50, 1621, 3242, 8105, 16210, 40525

Step-4: Factors of 81060

List of positive integer factors of 81060 that divides 81050 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 193, 210, 386, 420, 579, 772, 965, 1158, 1351, 1930, 2316, 2702, 2895, 3860, 4053, 5404, 5790, 6755, 8106, 11580, 13510, 16212, 20265, 27020, 40530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81050 and 81060. The biggest common factor number is the GCF number.
So the greatest common factor 81050 and 81060 is 10.

Also check out the Least Common Multiple of 81050 and 81060